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Simplifying -2(1 + 7v) = 25 + -5v (1 * -2 + 7v * -2) = 25 + -5v (-2 + -14v) = 25 + -5v Solving -2 + -14v = 25 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -2 + -14v + 5v = 25 + -5v + 5v Combine like terms: -14v + 5v = -9v -2 + -9v = 25 + -5v + 5v Combine like terms: -5v + 5v = 0 -2 + -9v = 25 + 0 -2 + -9v = 25 Add '2' to each side of the equation. -2 + 2 + -9v = 25 + 2 Combine like terms: -2 + 2 = 0 0 + -9v = 25 + 2 -9v = 25 + 2 Combine like terms: 25 + 2 = 27 -9v = 27 Divide each side by '-9'. v = -3 Simplifying v = -3
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